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Finding the Third Proportional to 24,854.34 and 52,715.81

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Solution

The third proportional to 24,854.34 and 52,715.81 is: 111,809.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,854.34 : 52,715.81 = 52,715.81 : x
  2. Step 2: Convert to fraction form
    24,854.34/52,715.81 = 52,715.81/x
  3. Step 3: Cross multiply
    24,854.34x = 52,715.81 × 52,715.81
  4. Step 4: Simplify right side
    24,854.34x = 2,778,956,887.54
  5. Step 5: Solve for x
    x = 2,778,956,887.54/24,854.34
  6. Step 6: Final answer
    x = 111,809.71

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.